{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Telecentric f/2.8 Lens"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from optiland import optic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Telecentric(optic.Optic):\n",
    "    \"\"\"Telecentric f/2.8 lens\n",
    "\n",
    "    Milton Laikin, Lens Design, 3rd ed., Marcel Dekker, 2001, p. 267\n",
    "    \"\"\"\n",
    "\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "        self.add_surface(index=0, thickness=np.inf, radius=np.inf)\n",
    "        self.add_surface(index=1, radius=-47.6338, thickness=0.2638, material=\"N-FK5\")\n",
    "        self.add_surface(index=2, radius=2.1315, thickness=0.1461)\n",
    "        # the stop is positioned right after the first lens to ensure that the chief rays are parallel to the optical axis in the image plane\n",
    "        self.add_surface(index=3, thickness=2.1542, is_stop=\"True\")\n",
    "        self.add_surface(index=4, radius=26.39803, thickness=0.3942, material=\"N-LAK8\")\n",
    "        self.add_surface(index=5, radius=-6.0310, thickness=1.7429)\n",
    "        self.add_surface(index=6, radius=5.6125, thickness=0.6345, material=\"N-LAK8\")\n",
    "        self.add_surface(index=7, radius=-13.2187, thickness=0.2750)\n",
    "        self.add_surface(index=8, radius=13.7865, thickness=0.3389, material=\"SF1\")\n",
    "        self.add_surface(index=9, radius=3.0669, thickness=0.3894)\n",
    "        self.add_surface(index=10, radius=11.7626, thickness=0.2807, material=\"SF1\")\n",
    "        self.add_surface(index=11, radius=3.0473, thickness=0.8596, material=\"N-LAK12\")\n",
    "        self.add_surface(index=12, radius=-5.79673, thickness=5.2507)\n",
    "        self.add_surface(index=13)\n",
    "\n",
    "        # add aperture\n",
    "        self.set_aperture(aperture_type=\"EPD\", value=1.0)\n",
    "\n",
    "        # add field\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(y=0)\n",
    "        self.add_field(y=5.0)\n",
    "        self.add_field(y=10.0)\n",
    "\n",
    "        # add wavelength\n",
    "        self.add_wavelength(value=0.55, is_primary=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = Telecentric()\n",
    "_ = lens.draw()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "optiland (3.13.2)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
